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README.md

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# Multipole
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2D and 4D multipole expansion code (using Legendre polynomials and Spherical Harmonics respectively) for fitting PES into radial coefficients.
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# Multipole expansion
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2D and 4D multipole expansion code (using Legendre polynomials and Spherical Harmonics respectively)
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for fitting PES into radial coefficients is provided as jupyter-notebook files.
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Both codes use least square fit (achieved by taking pseudo-inverse of Legendre/Spherical-Harmonics coefficients stored in a 2D matrix).
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For any quaries contact [Dr. T. J. Dhilip Kumar](mailto:[email protected]) CC: AK(mailto:[email protected])
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File 1: 2D_multipole_inv.ipynb
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2D PES (Atom - Rigid Rotor collision)
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![2D PES (Atom - Rigid Rotor)](https://github.com/apoorv-kushwaha/Multipole/blob/main/jacobi22.png)
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# Citation
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---
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output:
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md_document:
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variant: markdown_github
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bibliography: bibliography.bib
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---
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[@benchPES]
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File 2: Use 4D_SF_expansion.ipynb
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4D PES (Two Rigid Rotors)
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![4D PES (two rigid rotors)](https://github.com/apoorv-kushwaha/Multipole/blob/main/jac_final.png)

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